This worked, but... It turned out that debian does not use pm-suspend when it suspends =(
To suspend and awake with touchpad working I had to sudo pm-suspend manually, so annoying. And again, when debian suspends from low battery or lid closed, it suspends without pm-suspend, so I had to run my annoying script.

Arghh!..

Debian uses systemd to manage power, so should I. By the way, when duckduckgoing word "systemd" a lot of controversial and critical posts come up about it being too complex and handling too much responsibility, try it!

systemd provides it's own environment to create hooks, so I created one that finally worked!

sda1 is the boot partition, since I have UEFI, it is marked as EFI System. The grub and bootloader stuff is stored there.

sda2 is the /opt/ on his own partition (I have almost 5 GB of additional software, most of it are IDEs).

sda3 is a swap partition

sda4 is the C:/ drive of Windows 8

sda5 is the root directory (/). I'm wondering, why it is marked as Microsoft basic data by the fdisk.

sda6 is a ntfs data partition, where all the big data is stored, as archives of my university files and so on.

sda7 is /home on his own partition.

So, with this crazy-crazy situation I made up my mind to move from Ubuntu to Debian.

First, I made a live-usb. Just jigdo-ed the latest (Jessie) livecd distribution and tried to

dd if=debian-8.1-livecd.iso of=/dev/sdb1

and... nothing happened.
I guess there was some problem with bootloader, but I didn't want to dig deep this time, I wanted my Jessie to be right away! So I used the UNetBootin app. Great stuff, saved me a lot of times! So I flashed the liveusb with the jigdo-ed iso and UNetBootin and booted from the usb.

Installation process is rather ordinary, the only thing I changed is used sda7 as /home and didn't format it.

The several problems of fresh-installed Debian Jessie:

no touchpad

no wlan

=(

During the installation I missed that no Ethernet card was found on my laptop, so there was no driver installed for it. What a pity.
Also, a classical problem of debian-like OS: Synaptic touchpad is not working. I must add, that even if you fix it by adding

i8042.nomux

to /etc/default/grub, you will still face the problem after every single suspend. This is also fixable (but I'm telling it not now).

For wifi you need to install iwlwifi driver (I have Inter 3022 Ethernet card). You need to install firmware-iwlwifi_versionhere.deb or something like that. After installing the package, just do

modprobe iwlwifi

and reboot. Voila, after that I immediately had my wifi working, hooray.

Result: safe moving with several partitions and Windows8 from Ubuntu to Debian, no skill required. Thank you, great developers!